San works at Staples and is ordering pens for the September school rush.3 packs if pens cost$4.50. 30 packs of pens cost $45.How much would 75 packs if pens cost?

Answers

Answer 1
Answer: It would cost about $112.5

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Given that the measurement is in centimeters,find the area of the circle to the nearest tenth.(Use 3.14 for pi)A)28.3
B)56.5
C)88.7
D).254.3

Answers

Answer:

D) 254.3

Step-by-step explanation:

The formula for the area of a circle is πr^2

so it would be, 3.14 x 9 x 9= 254.34

then just round your answer to the nearest tenth to get 254.3

Hope this helps! Let me know if you need help with anything else!

B) In a sunny day, the length of the shadow of a pole 30m long is equal to theof the pole. After a while, it is found to be 51.96m long, find the altitude of the sun in both cases.​

Answers

When the shadow is 30 meters long, the angle of the sun is 45°.

When the shadow is 51.96 meters long, the angle of the sun is arctan(30/51.96) = 30°

Which equation represents the polar form of x2 + (y + 4)2 = 16?

Answers

The polar form of equation is r = -8sinθ.

What is polar form of complex number?

The combination of the complex number's modulus r and argument  is how complex numbers are shown in polar form z = r cosθ + i r sinθ = r (cosθ + i sinθ), is the polar form of a complex number with coordinates (x, y). In the coordinate system, polar coordinates of real and imaginary numbers are used to represent the polar form.

Given x² + (y + 4)² = 16

here The following is the relationship between (r, θ) and (x, y) if they are in Cartesian form:

x = rcosθ, y = rsinθ and r² = x² + y² ad tanθ = y/x

x² + (y + 4)² = 16

x² + y² + 16 + 8y = 16

x² + y² + 8y = 0

r² + 8rsinθ = 0

r(r + 8sinθ) = 0

r =0 and r = -8sinθ

Hence the polar form of equation is  r = -8sinθ.

Learn more about polar form of complex number;

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Answer:

c. r=-8sin(theta)

Step-by-step explanation:

edge 2021

Automobiles traveling on a road with a posted speed limit of 65 miles per hour are checked for speed by a state police radar system. The following is a frequency distribution of speeds. Speed (miles per hour) Frequency 45 up to 55 70 55 up to 65 360 65 up to 75 250 75 up to 85 110 (See the Excel Data File.) The mean speed of the automobiles traveling on this road is the closest to ________.

Answers

Answer:

The mean speed of the automobiles traveling on this road is the closest to 65 mph.

Step-by-step explanation:

frequency distribution of speeds.

Speed (mph) | Frequency

45 up to 55 | 70

55 up to 65 | 360

65 up to 75 | 250

75 up to 85 | 110

Using the midpoint method, we represent each group/class of speeds with the midpoint speed, then go ahead to compute the mean.

Let the speed be x

The frequency be f

x | f

50 | 70

60 | 360

70 | 250

80 | 110

Mean = (Σfx)/(Σf)

Σfx = (50×70) + (60×360) + (70×250) + (80×110) = 51,400

Σf = 70 + 360 + 250 + 110 = 790

Mean = (Σfx)/(Σf)

Mean = (51400/790) = 65.06 mph ≈ 65 mph

The mean speed of the automobiles traveling on this road is the closest to 65 mph

Hope this Helps!!!

If j and k are intersecting lines, A and B are points on j, and C and D are points on k, how many planes contain points A, B, C, and D? A. Infinitely many
B. We can't determine from the given information.
C. Exactly one
D. None

Answers

The correct answer to this question is letter "B. We can't determine from the given information."

Using the information as stated, "If j and k are intersecting lines, A and B are points on j, and C and D are points on k," the number of planes that contain points A, B, C, and D cannot be determined because of the lack of information.

Help asap i will get yelled at =( this is going to give yoyu 42 points

Answers

Answer: first pic: true. second pic: is D. third pic: false. forth pic: C.

Step-by-step explanation:

Answer:

24+24=48

Step-by-step

24+24=48